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Alek Richter
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Enlightened
Asked: 2021-11-01T07:10:17+00:00

Proof: The identity matrix is invertible and the inverse of the identity is the identity

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How can i show that: II−1=I=I−1I (the identity matrix is invertible) for all cases. And then proof that: I−1=I (The inverse of the identity is the identity). I don’t know how start both proof, any suggestion?

1 Answer

  2. Enlightened

    Suppose A is the inverse of the identity matrix. Then AI=IA=I. But AI=IA=A as well so A=I.

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